The value of (-7)2 is negative. True False

Mathematics

2 answers:

nexus9112 [7]3 years ago

5 0

Answer:

true multiplying a positive by a negative makes a negative number. think of it like flipping upside down. You will only be right side up if you flip upside down again after already being upside down.

fomenos3 years ago

3 0

Answer: True

Step-by-step explanation: A positive times a negative integer always equals a negative. That means (-7)2= -14

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A sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's p

Grace [21]

Answer:

Yes, we have sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.

Let Null Hypothesis, $H_0$ : p $\leq$ 0.29 {means that less than or equal to 29% do not fail in the first 1000 hours of their use}

Alternate Hypothesis, $H_1$ : p > 0.29 {means that more than 29% do not fail in the first 1000 hours of their use}

The test statics that will be used here is One-sample proportions test;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of chips that do not fail in the first 1000 hours of their use = 32%

n = sample of chips = 1500

So, test statistics = $\frac{0.32-0.29}{\sqrt{\frac{0.32(1-0.32)}{1500} } }$

= 2.491

Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.

Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.

7 0

4 years ago

RoseWind [281]

Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.

Therefore, even if $\Delta ABC$ is dilated to $\Delta JKL$ by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle $\Delta ABC$ will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.